Dynamics of rational symplectic mappings and difference Galois theory

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dc.creatorCasale, Guy
dc.creatorRoques, Julien
dc.date2008-03-27
dc.date.accessioned2026-07-07T12:59:56Z
dc.date.available2026-07-07T12:59:56Z
dc.descriptionIn this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type, ensuring the non-integrability of a rational symplectic map in the non-commutative sense (Mishchenko-Fomenko). As a particular case, we obtain a com- plete discrete analogue of Morales-Ramis Theorems for non-integrabi- lity in the sense of Liouville.
dc.identifierhttps://arxiv.org/abs/0803.3951
dc.identifierhttp://arxiv.org/abs/0803.3951
dc.identifierInternational Mathematics Research Notices 2008, 23 (2008) 23 p.
dc.identifierdoi:10.1093/imrn/rnn103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225724
dc.subjectDynamical Systems
dc.titleDynamics of rational symplectic mappings and difference Galois theory
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